Triangle XYZ has vertices X(1, 3), Y(0, 0), and Z(–1, 2). The image of triangle XYZ after a rotation has verticesX'(–3, 1), Y'(0, 0), and Z'(–2, –1). Which rule describes the transformation?
Answers
Answer:
Rotation about 90° counter clockwise (x , y) →→ ( -y, x ).
Step-by-step explanation:
Given : Triangle XYZ has vertices X(1, 3), Y(0, 0), and Z(–1, 2). The image of triangle XYZ after a rotation has vertices X'(–3, 1), Y'(0, 0), and Z'(–2, –1).
To find : Which rule describes the transformation.
Solution : We have given
vertices X(1, 3) →→ X'(–3, 1)
Y(0, 0) →→ Y'(0, 0),
Z(–1, 2) →→ Z'(–2, –1).
Here , we can see in each coordinates value of y become -x and x become y.
(x , y) →→ ( -y, x ) this the rule of rotation about 90° counter clockwise.
Therefore, rotation about 90° counter clockwise (x , y) →→ ( -y, x ).
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$70 interested at 12% compunded continuously after a period of 4 years
Answers
Answer:
475 x 0.20 = $95
475 - 95 = $380
Step-by-step explanation:
so your answer is $380!
hope this helps! :)
7c/12 + 5c/16=15/48 +c
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48 : 2 = 24
24 : 2 = 12
12 :2 = 6
6 : 2 = 3
3 : 3 = 1
2 * 2 * 2 * 2 * 3 = 48
...................................
16 : 2 = 8
8 : 2 = 4
4 : 2 = 2
2 : 2 = 1
2 * 2* 2 * 2 = 16
..................................
12 : 2 = 6
6 : 2 = 3
3 : 3 = 1
common denominator 48
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Answer:
y=
Step-by-step explanation:
I just used an app which will help you a lot;)
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The probability that the spinner stops at purple and a pink card is selected is 80%.
We have given that,a spinner with 5 equal sectors is shown in the figure.
What is the formula probability?
The spinner has a 1/5 chance of landing on purple, since the number of favorable outcomes is the numerator, and the number of possible outcomes is the denominator.
There are total four cards, which means we have a 1/4 chance of picking pink,
for the samereason as above.
Therefore 1/5 x 1/4 = 4/5
4/5 =0.80= 80% chance.
To learn more about the probability visit:
Answers
Answer:
The new ratio is 30 miles : 1 gallon it called the unit rate
Step-by-step explanation:
* Lets explain what is the unit rate
- A unit rate describes how many units of the first type of quantity
equal to one unit of the second type of quantity
- Ex: 3 miles per hour
$100 per day
15 students per class
- A unit rate is a rate with 1 in the denominator
- Ex: $20 for 5 pens, the rate is 20 : 5 divide the two terms by the
denominator 5, then 20 : 5 = 4 : 1 then unit rate is $4 per pen
* Lets solve the problem
- A car can travel 300 miles on 10 gallons of gas
∴ The rate is 300 miles per 10 gallons
- To find the unit rate divide the two terms of the rate by 10
∴ 300 : 10 = 300/10 : 10/10
∴ 300 : 10 = 30 : 1
∴ The unit rate is 30 miles per gallon
* The new ratio is 30 miles : 1 gallon it called the unit rate
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So, if you want to calculate how many centimeters are 15 feet you can use this simple rule.
1 foot = 30.48 cm.
15 feet = 15 * 30.48 = 457.2 cm.
That's it.